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Finding the Third Proportional to 40,450 and 63,316

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Solution

The third proportional to 40,450 and 63,316 is: 99,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,450 : 63,316 = 63,316 : x
  2. Step 2: Convert to fraction form
    40,450/63,316 = 63,316/x
  3. Step 3: Cross multiply
    40,450x = 63,316 × 63,316
  4. Step 4: Simplify right side
    40,450x = 4,008,915,856
  5. Step 5: Solve for x
    x = 4,008,915,856/40,450
  6. Step 6: Final answer
    x = 99,107.93

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.